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Finding the Fourth Proportional to 3,302.88, 4,952.88 and 993.84

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Solution

The fourth proportional to 3,302.88, 4,952.88 and 993.84 is: 1,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.88 : 4,952.88 = 993.84 : x
  2. Step 2: Convert to fraction form
    3,302.88/4,952.88 = 993.84/x
  3. Step 3: Cross multiply
    3,302.88x = 4,952.88 × 993.84
  4. Step 4: Simplify right side
    3,302.88x = 4,922,370.26
  5. Step 5: Solve for x
    x = 4,922,370.26/3,302.88
  6. Step 6: Final answer
    x = 1,490.33

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.